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![Page 1: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/1.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Research Methods inHuman-Computer Interaction
Chapter 4-Statistical Analysis
![Page 2: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/2.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Overview• Preparing data for statistical analysis• Descriptive statistics• Comparing means• T tests• Analysis of variance (ANOVA)• Assumptions of t tests and F tests• Identifying relationships• Regression• Nonparametric statistical tests
![Page 3: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/3.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Preparing data for analysis
• Cleaning up data– Detect errors– Formatting
• Coding – Types of data that need to be coded– Be consistent
• Organizing the data– Accommodate to the requirements of statistical software
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Descriptive statistics
• Measures of central tendency– Mean– Median– Mode
• Measures of spread– Range– Variance– Standard deviations
![Page 5: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/5.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Comparing means
• Summary of methods
![Page 6: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/6.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Comparing 2 means: T tests
• Independent-samples t test: between-group design
![Page 7: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/7.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Comparing 2 means: T tests
• Paired-sample t test: within-group design
![Page 8: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/8.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Comparing 2 or more means:Analysis of variance (ANOVA)
• Also called F tests• One-way ANOVA: for between-group design• Data layout: Table 4.6• Results summary:
![Page 9: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/9.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
![Page 10: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/10.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Factorial ANOVA
• For between-group design• 2 or more independent variables involved• Data layout: table 4.9
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
![Page 12: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/12.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Factorial ANOVA
• Summary results
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Repeated measures ANOVA
• For within-group design• Can investigate one or more variables• One-way ANOVA
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Repeated measures ANOVA
• One way ANOVA summary report:
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Repeated measures ANOVA
• Two way ANOVA experiment design:
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Two way ANOVA data layout
Repeated measures ANOVA
![Page 17: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/17.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Repeated measures ANOVA
• Two way ANOVA summary report:
![Page 18: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/18.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Split-plot ANOVA
• Involves both between-group and within-group factors
• Experiment design
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Split-plot ANOVA data layout
![Page 20: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/20.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Split-plot ANOVA summary report
![Page 21: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/21.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Assumptions of t tests and F tests
• Errors should be independent of each other• Errors should be identically distributed• Errors should be normally distributed
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Identify relationships
• Correlation: Two factors are correlated if there is a relationship between them
• Most commonly used test for correlation is the Pearson’s product moment correlation coefficient test
• Pearson’s r: ranges between -1 to 1• Pearson’s r square represents the proportion of the
variance shared by the two variables
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Identify relationships
• Correlation does not imply causal relationship
![Page 24: ©2010 John Wiley and Sons Chapter 4 Research Methods in Human-Computer Interaction Chapter 4- Statistical Analysis.](https://reader034.fdocuments.us/reader034/viewer/2022052401/56649ea95503460f94bad5c8/html5/thumbnails/24.jpg)
©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Identify relationships
• Regression: can investigate the relationship between one DV and multiple IVs
• Regression is used for 2 purposes:– Model construction– Prediction
• Different regression procedures– Simultaneous– Hierarchical
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Non-parametric tests
• Non-parametric tests are used when:– The error is not normally distributed– The distances between any two data units are not
equal– The variance of error is not equal
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Non-parametric tests
• CHI-square test– Used to analyze categorical data– Table of counts (contingency table)– Assumptions of the test• Data points need to be independent • The sample size should not be too small
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
Non-parametric tests
• Two groups of data– For between-group design: Mann–Whitney U test
or the Wald–Wolfowitz runs test– For within-group design: Wilcoxon signed ranks
test• Three or more groups of data– For between-group design: Kruskal–Wallis one-
way analysis of variance by ranks– For within-group design: Friedman’s two-way
analysis of variance test
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©2010 John Wiley and Sons www.wileyeurope.com/college/lazar Chapter 4
End-of-chapter
• Summary• Discussion questions• Research design exercise